1. Given f(x) = 2x² + 3x - 5 and g(x) = x + 3, determine each of the following: a. f(g(x)) b. g(f(x)) c. f(g(-3)) d. g(f(7))

Q: 5.

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Q: Instructions to follow: * Give original work *Support your work with examples and graphs where…

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Q: 2. Use the definition to prove that x+2 lim (xy)-(2,0) 2x+y = 1.

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Q: 1.

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Q: DO NOT WANT AI SOLUTIONS. Thank you

A: GIVEN : ​​  Ans ( a ) : ​​    Ans ( b ) : ​​    Ans ( c ) : ​​

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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Q: Can group of order 25 have a subgroup of order 6

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Q: Pls help on all asked questions. Pls show all work and steps. Pls circle the final answer.

A: I hope this is helpful.

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Q: 6.

A: Problem (a): y'' + 2y = 0, x₀ = 0Step 1: Assume a Power Series SolutionAssume the solution y(x) can…

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Q: 2/ =e -Z2 where K is an integer show that e² = e²²2 i fand only if 2+ + 2₂ = 2 ki

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